Understanding Pre-Algebra: Ordered Pairs, Functions, and Relations
"Explore the concepts of ordered pairs, functions, and relations in pre-algebra with Mrs. Fisher's review. Learn how to write ordered pairs from graphs, determine if a relation is a function, use the vertical line test, identify domains and ranges, and distinguish between functions and relations. Test your knowledge with examples and understand the key distinctions in pre-algebra concepts."
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Presentation Transcript
Chapter 9 Review Pre-Algebra Mrs. Fisher
Use the graph to write the ordered pair for each point. 1) P 2) L 3)J 4)M 5) N
1. (2, -4) 2. (-4, 4) 3. (3,4) 4. (-1, 3) 5. (-3, -4)
Determine whether the relation is a function. Write either function or relation to answer. {(2,0), (2,2), (2,4), (2,6)}
Determine whether the relation is a function. Write either function or relation to answer. {(1,12), (4,18), (7,22), (10, 28)}
Determine whether this is a relation or a function.
Relation (use vertical line test)
Determine whether this is a relation or a function.
Function (use vertical line test)
Domain Range Determine whether this is a relation or a function. -2 4 -1 7 0 8 1 11 2
The relation {(4,1), (5,3), (8,-2), (-9, 3)} is a function. Write an ordered pair that would make the relation NOT a function.
(any pair where the domain (x) has two different ranges (y); Examples: (5,5), (8,3)
Solve the function.
Answer: F
Answer: F
State the slope and the y- intercept of 6x 16y = 48
Answer: m= 3 8 b= (0, -3)
3 11 Answer: -
Find the slope of the line that passes through L (5, -6), M (9,6)
Find the slope.
Find the constant rate of change.
Find the constant rate of change and interpret it s meaning.
Answer: 2; For every two stepping stones added, the path becomes one meter longer.
State the slope and y- intercept of the line. y = 2 3x -1
M= 2 3 b= -1
Graph the following line: y= -1 4x + 8
Answer: m= -1/4 b= 8 (0,8)
Answer: m= -18/1 b= 675 (0,675) -I used each cube as 100!
Problem-Solving Review
Mrs. Fisher needs to rent a speaker system for upcoming 6th grade promotions. The fee from Best Buy involves a $120 fee plus $30 a day. Talking Systems Inc. offers a lower flat rate of $100, but a higher daily rental fee of $50 a day. The equations for both companies are below. Scenario Best Buy Talking Systems Inc. C= 30d + 120 C= 50d +100
Mrs. Fisher needs to rent a speaker system for upcoming 6th grade promotions. The fee from Best Buy involves a $120 fee plus $30 a day. Talking Systems Inc. offers a lower flat rate of $100, but a higher daily rental fee of $50 a day. The equations for both companies are below. Part 1: Mrs. Fisher will rent the speakers for 6 days. Determine which company should be used to rent the equipment based on the cost of a 6 day rental. Best Buy Talking Systems Inc. C= 30d + 120 C= 50d +100
Best Buy Talking Systems Inc. C= 30d + 120 C= 50d +100 Answer: Best Buy would be the better choice since it is $100 cheaper for 6 days. Determine the cost of both companies. d is the amount of days. Plug into each equation. Best Buy: C= 30(6) + 120 = 180 + 120 = $300.00 Talking Systems: C= 50 (6) + 100 = 300+ 100 =$400.00
Mrs. Fisher needs to rent a speaker system for upcoming 6th grade promotions. The fee from Best Buy involves a $120 fee plus $30 a day. Talking Systems Inc. offers a lower flat rate of $100, but a higher daily rental fee of $50 a day. The equations for both companies are below. Part 2: Would Best Buy always be the best choice? Explain your thinking. Best Buy Talking Systems Inc. C= 30d + 120 C= 50d +100
